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4424140431 = 333716632663
BaseRepresentation
bin1000001111011001…
…10000011010001111
3102102022210121202000
410013230300122033
533030034443211
62011000403343
7214430400414
oct40754603217
912368717660
104424140431
111970348207
12a35776553
13556765b99
142dd80010b
151ad606656
hex107b3068f

4424140431 has 32 divisors (see below), whose sum is σ = 6738001920. Its totient is φ = 2866910112.

The previous prime is 4424140411. The next prime is 4424140433. The reversal of 4424140431 is 1340414244.

It is not a de Polignac number, because 4424140431 - 29 = 4424139919 is a prime.

It is a super-2 number, since 2×44241404312 = 39146037106417731522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4424140395 and 4424140404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424140433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1660006 + ... + 1662668.

It is an arithmetic number, because the mean of its divisors is an integer number (210562560).

Almost surely, 24424140431 is an apocalyptic number.

4424140431 is a deficient number, since it is larger than the sum of its proper divisors (2313861489).

4424140431 is a wasteful number, since it uses less digits than its factorization.

4424140431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4424140431 is about 66514.2122482105. The cubic root of 4424140431 is about 1641.6338603881.

Adding to 4424140431 its reverse (1340414244), we get a palindrome (5764554675).

The spelling of 4424140431 in words is "four billion, four hundred twenty-four million, one hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 999 1663 2663 4989 7989 14967 23967 44901 61531 71901 98531 184593 295593 553779 886779 1661337 2660337 4428569 13285707 39857121 119571363 163857053 491571159 1474713477 4424140431